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ON G2- MORPHIC MANIFOLDS AND G2 STRUCTURES

Year 2014, Volume: 3 Issue: 1, 11 - 19, 17.03.2014

Nülifer Özdemir Şirin Aktay

https://doi.org/10.20290/btdb.84457

Abstract

In this paper, we consider two -morphic 7-manifolds with  structures and show that they belong to the same class of structures. The converse may not be true, however.

Keywords

$G_2$ manifolds $G_2$-morphisms

References

  • Bryant, R. (1987). Metrics with Exceptional Holonomy, Annals of Mathematics, 126, 525-576.
  • Cabrera, F. M. (1996). On Riemannian Manifolds with -Structure. Bolletino U.M.I (7), 10-A, 99- 112.
  • Cabrera, F. M., Monar, M. D. and Swann, A. F. (1996). Classification of -Structures, Journal of the London Mathematical Society (2), 53, 407-416.
  • Cho, H., Salur, S. and Todd, A. J. (2011). Diffeomorphisms of 7-Manifolds with Closed -Structure, arXchiv:1112.0832v1.
  • Fernandez, M. and Gray, A. (1982) . Riemannian Manifolds with Structure Group , Annali di Matematica Pura ed Applicata (4), 132 ,19-25.
  • O'Neill, B. (1983). Semi-Riemannian Geometry, Academic Press, New York.

G2-MORFİK MANİFOLDLAR VE G2 YAPILARI

Year 2014, Volume: 3 Issue: 1, 11 - 19, 17.03.2014

Nülifer Özdemir Şirin Aktay

https://doi.org/10.20290/btdb.84457

Abstract

Keywords

G2 Yapıları G2-Morfizmler

References

  • Bryant, R. (1987). Metrics with Exceptional Holonomy, Annals of Mathematics, 126, 525-576.
  • Cabrera, F. M. (1996). On Riemannian Manifolds with -Structure. Bolletino U.M.I (7), 10-A, 99- 112.
  • Cabrera, F. M., Monar, M. D. and Swann, A. F. (1996). Classification of -Structures, Journal of the London Mathematical Society (2), 53, 407-416.
  • Cho, H., Salur, S. and Todd, A. J. (2011). Diffeomorphisms of 7-Manifolds with Closed -Structure, arXchiv:1112.0832v1.
  • Fernandez, M. and Gray, A. (1982) . Riemannian Manifolds with Structure Group , Annali di Matematica Pura ed Applicata (4), 132 ,19-25.
  • O'Neill, B. (1983). Semi-Riemannian Geometry, Academic Press, New York.
There are 6 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Nülifer Özdemir

Şirin Aktay

Publication Date March 17, 2014
Published in Issue Year 2014 Volume: 3 Issue: 1

Cite

APA Özdemir, N., & Aktay, Ş. (2014). ON G2- MORPHIC MANIFOLDS AND G2 STRUCTURES. Anadolu University Journal of Science and Technology B - Theoretical Sciences, 3(1), 11-19. https://doi.org/10.20290/btdb.84457
AMA Özdemir N, Aktay Ş. ON G2- MORPHIC MANIFOLDS AND G2 STRUCTURES. AUBTD-B. March 2014;3(1):11-19. doi:10.20290/btdb.84457
Chicago Özdemir, Nülifer, and Şirin Aktay. “ON G2- MORPHIC MANIFOLDS AND G2 STRUCTURES”. Anadolu University Journal of Science and Technology B - Theoretical Sciences 3, no. 1 (March 2014): 11-19. https://doi.org/10.20290/btdb.84457.
EndNote Özdemir N, Aktay Ş (March 1, 2014) ON G2- MORPHIC MANIFOLDS AND G2 STRUCTURES. Anadolu University Journal of Science and Technology B - Theoretical Sciences 3 1 11–19.
IEEE N. Özdemir and Ş. Aktay, “ON G2- MORPHIC MANIFOLDS AND G2 STRUCTURES”, AUBTD-B, vol. 3, no. 1, pp. 11–19, 2014, doi: 10.20290/btdb.84457.
ISNAD Özdemir, Nülifer - Aktay, Şirin. “ON G2- MORPHIC MANIFOLDS AND G2 STRUCTURES”. Anadolu University Journal of Science and Technology B - Theoretical Sciences 3/1 (March 2014), 11-19. https://doi.org/10.20290/btdb.84457.
JAMA Özdemir N, Aktay Ş. ON G2- MORPHIC MANIFOLDS AND G2 STRUCTURES. AUBTD-B. 2014;3:11–19.
MLA Özdemir, Nülifer and Şirin Aktay. “ON G2- MORPHIC MANIFOLDS AND G2 STRUCTURES”. Anadolu University Journal of Science and Technology B - Theoretical Sciences, vol. 3, no. 1, 2014, pp. 11-19, doi:10.20290/btdb.84457.
Vancouver Özdemir N, Aktay Ş. ON G2- MORPHIC MANIFOLDS AND G2 STRUCTURES. AUBTD-B. 2014;3(1):11-9.
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